Theoretical Studies of Smectic Liquid Crystals in the Presence of Flow, Oscillatory Perturbations, and Edge Dislocations PDF Download
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Author: Ben C. Snow
Publisher:
ISBN:
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Languages : en
Pages : 0
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Book Description
A range of theoretical studies regarding the static and dynamic behaviour of smectic liquid crystals will be presented. The thesis is mainly concerned with the smectic A phase as modelled by the continuum theory of Stewart, though a working knowledge of the smectic C phase, modelled using the Leslie-Stewart-Nakagawa continuum theory, proves necessary. In Chapter 3, reductions of Stewart's theory by appeal to certain physically motivated assumptions upon the smectic and the flow pattern to which it is subjected are outlined. The linear stability of each of the resultant systems is then analysed. Chapter 4 presents the derivation of a "lubrication-type" theory based on one of these resultant systems of equations, which is then analysed in general terms before being applied to the problem of flow past a finite obstacle. Chapter 5 presents an investigation of a shear wave incident at a planar boundary between an isotropic elastic solid and a smectic A liquid crystal. The behaviour of the wave upon reflection and refraction at the interface is established, as is the response of the smectic; a comparison with the smectic C case as considered by Gill and Leslie concludes the chapter. Finally, Chapter 6 discusses the static configuration of a smectic A liquid crystalin the presence of an isolated edge dislocation. After constructing the energy density to fourth order, we first recover the results of previous investigations by assuming the director and layer normal always coincide, in addition to examining a perturbation to a known solution. We then relax the constraint director-layer normal equivalence, obtaining exact solutions for the smectic's configuration for a quadratic energy density and deriving equilibrium equations for special cases for the fourth order formulation.
Author: Ben C. Snow
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
A range of theoretical studies regarding the static and dynamic behaviour of smectic liquid crystals will be presented. The thesis is mainly concerned with the smectic A phase as modelled by the continuum theory of Stewart, though a working knowledge of the smectic C phase, modelled using the Leslie-Stewart-Nakagawa continuum theory, proves necessary. In Chapter 3, reductions of Stewart's theory by appeal to certain physically motivated assumptions upon the smectic and the flow pattern to which it is subjected are outlined. The linear stability of each of the resultant systems is then analysed. Chapter 4 presents the derivation of a "lubrication-type" theory based on one of these resultant systems of equations, which is then analysed in general terms before being applied to the problem of flow past a finite obstacle. Chapter 5 presents an investigation of a shear wave incident at a planar boundary between an isotropic elastic solid and a smectic A liquid crystal. The behaviour of the wave upon reflection and refraction at the interface is established, as is the response of the smectic; a comparison with the smectic C case as considered by Gill and Leslie concludes the chapter. Finally, Chapter 6 discusses the static configuration of a smectic A liquid crystalin the presence of an isolated edge dislocation. After constructing the energy density to fourth order, we first recover the results of previous investigations by assuming the director and layer normal always coincide, in addition to examining a perturbation to a known solution. We then relax the constraint director-layer normal equivalence, obtaining exact solutions for the smectic's configuration for a quadratic energy density and deriving equilibrium equations for special cases for the fourth order formulation.
Author: Patrick Oswald
Publisher: CRC Press
ISBN: 9780849398407
Category : Science
Languages : en
Pages : 724
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Book Description
Liquid crystals allow us to perform experiments that provide insight into fundamental problems of modern physics, such as phase transitions, frustration, elasticity, hydrodynamics, defects, growth phenomena, and optics. Smectic and Columnar Liquid Crystals: Concepts and Physical Properties Illustrated by Experiments is a result of personal research and of the graduate lectures given by the authors at the École Normale Supérieure de Lyon and the University of Paris VII, respectively. The book examines lamellar (smectic) and columnar liquid crystals, which, in addition to orientational order, possess 1D, 2D or 3D positional order. This volume illustrates original physical concepts using methodically numerous experiments, theoretical developments, and diagrams. Topics include rheology and plasticity, ferroelectricity, analogies with superconductors, hexatic order and 2D-melting, equilibrium shapes, facetting, and the Mullins-Sekerka instability, as well as phase transitions in free films and membrane vibrations. Nematic and cholesteric liquid crystals are covered by the authors in a separate volume entitled Nematic and Cholesteric Liquid Crystals: Concepts and Physical Properties Illustrated by Experiments. Smectic and Columnar Liquid Crystals is an ideal introduction and a valuable source of reference for theoretical and experimental studies of advanced students and researchers in liquid crystals, condensed matter physics, and materials science.
Author: S. Chandrasekhar
Publisher: Cambridge University Press
ISBN: 9780521417471
Category : Science
Languages : en
Pages : 484
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Book Description
This is a new and greatly revised edition of Professor Chandrasekhar's classic book Liquid Crystals, first published in 1977. The subject of liquid crystals has grown into an exciting interdisciplinary research field with important practical applications. This book presents a systematic and self-contained treatment of the physics of the different types of thermotropic liquid crystals - the three classical types, nematic, cholesteric and smectic, and the newly discovered discotic type. Included is a description of the structures of these four main types and their polymorphic modifications, their thermodynamical, optical and mechanical properties and their behaviour under external fields. The basic principles underlying the major applications of liquid crystals in display technology and in thermography are also discussed. This book will be of great value to advanced students and researchers in condensed matter physics, chemical physics, materials science and technology with an interest in the physics, chemistry and applications of liquid crystals.
Author: Oleg D. Lavrentovich
Publisher: Springer Science & Business Media
ISBN: 9401005125
Category : Science
Languages : en
Pages : 356
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Book Description
Topological defects are the subject of intensive studies in many different branches of physics ranging from cosmology to liquid crystals and from elementary particles to colloids and biological systems. Liquid crystals are fascinating materials which present a great variety of these mathematical objects and can therefore be considered as an extremely useful laboratory for topological defects. This book is the first attempt to present together complementary approaches to the investigations of topological defects in liquid crystals using theory, experiments and computer simulations.
Author: Antal Jakli
Publisher: CRC Press
ISBN: 1420012207
Category : Science
Languages : en
Pages : 351
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Book Description
Smectic and lamellar liquid crystals are three-dimensional layered structures in which each layer behaves as a two-dimensional fluid. Because of their reduced dimensionality they have unique physical properties and challenging theoretical descriptions, and are the subject of much current research. One- and Two-Dimensional Fluids: Properties of Smec
Author: Alan J. Walker
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Sergey V. Pasechnik
Publisher: John Wiley & Sons
ISBN: 3527407200
Category : Technology & Engineering
Languages : en
Pages : 437
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Book Description
Covering numerous practical applications as yet not covered in any single source of information, this monograph discusses the importance of viscous and elastic properties for applications in both display and non-display technologies. The very well-known authors are major players in this field of research and pay special attention here to the use of liquid crystals in fiber optic devices as applied in telecommunication circuits.
Author: Alan J. Walker
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Shri Singh
Publisher: Springer Nature
ISBN: 303152621X
Category :
Languages : en
Pages : 676
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Book Description
Author: Glenn H. Brown
Publisher: Academic Press
ISBN: 1483191362
Category : Science
Languages : en
Pages : 225
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Book Description
Advances in Liquid Crystals, Volume 4 is a collection of papers that deals with liquid crystal sciences, particularly the flow problems in liquid crystals, the effects of high pressure on liquid crystals, lyotropic and thermotropic polymeric liquid crystals, and the light-scattering properties of thermotropic liquid crystals. One paper reviews the continuum theory in flow problems in liquid crystals, presents theoretical predictions, and compares these with associated observations. High-pressure experiments in liquid crystals pave the way for discoveries involving pressure-induced mesomorphism in certain materials, suppression of mesophases, tricritical phase transitions, and re-entrant behavior. Another paper describes the types of macromolecular structures that have a propensity for mesomorphism — linear, conventional types of polymers, such as block copolymers and graft copolymers. Another paper examines the application of light scattering in fluctuations that happens during the liquid crystalline phases. The paper investigates the assumption that light is scattered by inhomogeneities in the dialectric constant of the medium it is passing through. This collection can prove useful for scientists in liquid crystals, and industrial researchers in the field of advanced chemistry and physics.
